-
A conical cup is filled with icecream. The ice-cream forms a hemispherical shape on its open top. The height of the hemispherical part is 7 cm. The radius of the hemispherical part equals the height of the cone. Then the volume of the ice-cream is (π = 22/7)
-
- 1078 cubic cm
- 1708 cubic cm
- 7108 cubic cm
- 7180 cubic cm
- 1078 cubic cm
Correct Option: A
| Volume of hemisphere = | πr³ | |
| 3 |
Where r = radius = 7 cm.
| = |  | × | × 7 × 7 × 7 |  | cu.cm. | ||
| 3 | 7 |
| Volume of conical part = | πr²h | |
| 3 |
[∵ r = h]
| = | | × | × 7 × 7 × 7 | | cu.cm. | ||
| 3 | 7 |
| ∴ Volume of ice-cream = | × | × 7³ + | × | × 7³ = | × 7³ = 22 × 7² | = 1078 cu.cm. | |||||
| 3 | 7 | 3 | 7 | 7 |
